Fractional order generalized thermoelastic study in orthotropic medium of type GN-Ⅲ

摘要

The present paper is concerned with the investigation of disturbances in orthotropic thermoelastic medium by using fractional order heat conduction equation with three phase lags due to thermomechanical sources. Laplace and Fourier transform techniques are used to solve the problem. The expressions for displacement components, stress components and temperature change are derived in transformed domain and further in physical domain using numerical inversion techniques. The effect of fractional parameter based on its conductivity i.e., (0alpha1 for weak, alpha=1 for normal, 1alpha = 2 for strong conductivity) is depicted graphically on various components.